101011101100001 has 8 divisors (see below), whose sum is σ = 101963108548224. Its totient is φ = 100059241401360.

The previous prime is 101011101099971. The next prime is 101011101100031. The reversal of 101011101100001 is 100001101110101.

It is an interprime number because it is at equal distance from previous prime (101011101099971) and next prime (101011101100031).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011101100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011101100031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35563385 + ... + 38298518.

It is an arithmetic number, because the mean of its divisors is an integer number (12745388568528).

Almost surely, 2^{101011101100001} is an apocalyptic number.

It is an amenable number.

101011101100001 is a deficient number, since it is larger than the sum of its proper divisors (952007448223).

101011101100001 is a wasteful number, since it uses less digits than its factorization.

101011101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73874791.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101011101100001 its reverse (100001101110101), we get a palindrome (201012202210102).

The spelling of 101011101100001 in words is "one hundred one trillion, eleven billion, one hundred one million, one hundred thousand, one".